Dislocation mediated plasticity for general macroscopically uniform stress and strain states
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Preprint
- 8 October 2026
- preprint
- Published by Elsevier in SSRN Electronic Journal
Abstract
The averaging procedure developed for polycrystalline bars under axially symmetric tension or compression is extended to arbitrary macroscopically uniform stress and strain states. The mean resolved shear stress and the mean resolved elastic and plastic shear strains are defined as root-mean-square averages over all slip-system orientations. It is shown that, if the plastic slip rate on a system is proportional to the resolved shear stress acting on it, the stress deviator determines the direction of plastic flow. The result is a dislocation-mediated plasticity in which eight ordinary differential equations per material point replace the yield condition and the flow rule. With one set of identified material parameters it describes tension, compression and torsion of copper over a broad range of temperatures and strain rates.Keywords
This publication has 3 references indexed in Scilit:
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- Large Strain, High Strain Rate Testing of CopperJournal of Engineering Materials and Technology, 1980
- Dynamic deformation of aluminium and copper at elevated temperaturesJournal of the Mechanics and Physics of Solids, 1971